5) (20 pts) A particle of charge go= +4.50 μC is placed in the center of a spherical, non- conducting shell of charge +6

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5) (20 pts) A particle of charge go= +4.50 μC is placed in the center of a spherical, non- conducting shell of charge +6.00 μC, as shown below. O 90 The inner surface of the shell has a radius of 20.0 cm, and the outer surface has a radius of 50.0 cm. The volume charge density inside the shell is given by the formula p = ar where a is a constant and r is the radial distance from the center of the shell. a) Find the value of the constant a. b) Find the magnitude of the electric field at a distance of 10.0 cm from the center. c) Find the magnitude of the electric field at a distance of 30.0 cm from the center. d) Find the magnitude of the electric field at a distance of 60.0 cm from the center.